Transfer

Identification of a transfer function

Identification of a transfer function
  1. How do you identify a transfer function?
  2. How is a transfer function defined?
  3. What are the conditions for a transfer function?
  4. How is transfer function Analysed?

How do you identify a transfer function?

Finding the transfer function of a systems basically means to apply the Laplace transform to the set of differential equations defining the system and to solve the algebraic equation for Y(s)/U(s).

How is a transfer function defined?

Key Concept: Defining the Transfer Function

The transfer function is the ratio of the Laplace transform of the output to that of the input, both taken with zero initial conditions.

What are the conditions for a transfer function?

Necessary Conditions for Transfer Functions:

(a) The coefficients in the polynomials P(s) and Q(s) of N(s)=P(s)/Q(s) must be real. (b) The coefficients in Q(s) must be positive, but some of the coefficients in P(s) may be negative. 2. Complex or imaginary poles and zeros must occur in conjugate pairs.

How is transfer function Analysed?

What is transfer function analysis? The transfer function of a system is the relationship between the system's input and output represented in the frequency domain. The technique is commonly used to characterise the autoregulatory function of vascular systems (Zhang et al., 1998, Wittmann et al., 1995).

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